A068836 a(n) is the smallest prime containing all the distinct digits occurring in the first n positive integers.

11, 211, 1123, 1423, 112543, 1124653, 1234657, 112345687, 1123465789, 10123457689, 10123457689, 10123457689, 10123457689, 10123457689, 10123457689, 10123457689, 10123457689, 10123457689, 10123457689

Offset

1,1

Comments

a(n)=10123457689 for n>=10.

A068836(n) > A007908(n) for n < 10 and A068836(n) < A007908(n) for n >= 10. -Gonzalo Martínez, Jun 24 2025.

Links

Table of n, a(n) for n=1..19.

Example

a(3) = 1123 which is the smallest prime that contains digits 1,2 and 3. a(4) = 1423.

Crossrefs

Sequence in context: A167442 A249974 A124991 * A176009 A069628 A069613

Adjacent sequences: A068833 A068834 A068835 * A068837 A068838 A068839

Keyword

nonn,less,base

Author

Amarnath Murthy, Mar 09 2002

Extensions

More terms from Sascha Kurz, Mar 27 2002

Edited by Charles R Greathouse IV, Apr 28 2010

a(4) corrected by Gonzalo Martínez, Jun 21 2025

Status

approved